Unformatted text preview: Q × with division. d. The set P of 2 × 2 matrices with positive real entries, and matrix multiplication. Exercise 2. Prove that the identity element in any monoid (and hence any group) is unique. [ Hint: If you have two identities, what happens when you multiply them together?] Exercise 3. Prove that matrix multiplication is an associative operation on M 2 ( R )....
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- Spring '10